Prime Factorization of 6,120
Answer
6,120 = 23 × 32 × 5 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,120 | 2 | 3,060 |
| 2 | 3,060 | 2 | 1,530 |
| 3 | 1,530 | 2 | 765 |
| 4 | 765 | 3 | 255 |
| 5 | 255 | 3 | 85 |
| 6 | 85 | 5 | 17 |
| 7 | 17 | 17 | 1 |
Prime Factors
The prime factors of 6,120 are: 2, 3, 5, 17
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Understanding Prime Factorization
The prime factorization of 6,120 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,120
- Break it down into its prime factors: 2, 3, 5, 17
- Final expression: 23 × 32 × 5 × 17